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23012320100 = 22527114172893
BaseRepresentation
bin10101011011101001…
…000010001101100100
32012101202201222120212
4111123221002031210
5334112123220400
614323253514552
71443160331150
oct253351021544
965352658525
1023012320100
119839944770
124562942a58
1322297b3a73
1411843b8060
158ea445335
hex55ba42364

23012320100 has 144 divisors (see below), whose sum is σ = 63778167936. Its totient is φ = 6997632000.

The previous prime is 23012320069. The next prime is 23012320103. The reversal of 23012320100 is 102321032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (23012320103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 279254 + ... + 352146.

It is an arithmetic number, because the mean of its divisors is an integer number (442903944).

Almost surely, 223012320100 is an apocalyptic number.

23012320100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23012320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31889083968).

23012320100 is an abundant number, since it is smaller than the sum of its proper divisors (40765847836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23012320100 is a wasteful number, since it uses less digits than its factorization.

23012320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72966 (or 72959 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 23012320100 its reverse (102321032), we get a palindrome (23114641132).

The spelling of 23012320100 in words is "twenty-three billion, twelve million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 41 44 50 55 70 77 82 100 110 140 154 164 175 205 220 275 287 308 350 385 410 451 550 574 700 770 820 902 1025 1100 1148 1435 1540 1804 1925 2050 2255 2870 3157 3850 4100 4510 5740 6314 7175 7700 9020 11275 12628 14350 15785 22550 28700 31570 45100 63140 72893 78925 145786 157850 291572 315700 364465 510251 728930 801823 1020502 1457860 1603646 1822325 2041004 2551255 2988613 3207292 3644650 4009115 5102510 5612761 5977226 7289300 8018230 10205020 11225522 11954452 12756275 14943065 16036460 20045575 20920291 22451044 25512550 28063805 29886130 32874743 40091150 41840582 51025100 56127610 59772260 65749486 74715325 80182300 83681164 104601455 112255220 131498972 140319025 149430650 164373715 209202910 230123201 280638050 298861300 328747430 418405820 460246402 523007275 561276100 657494860 821868575 920492804 1046014550 1150616005 1643737150 2092029100 2301232010 3287474300 4602464020 5753080025 11506160050 23012320100